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3 years ago

I have 2 questions, they're similar, but i have no idea. can someone please help me.

Mathematics

1 answer:

Dimas [21]3 years ago

5 0

Answer:

First Picture:

$\sqrt{x} -3=3-\sqrt{x}\\\\\x-3=0\\ +3 +3\\x=3$

Second Picture:

$2/3(9x-6)-4=9x-6$

$(6x-4-4=9x-6\\6x-8=9x-6\\ -9 -9\\\\-3x-8=-6\\ \\+8 +8\\-3x=2\\\\x=-2/3$

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What is the vertex of f(x) = |x + 8| – 3?

Arte-miy333 [17]

Answer:

(-8,-3)

Step-by-step explanation:

This question is similar to the vertex form of a quadratic equation, so you can think of this equation like f(x) = (x-h)+k. Using this equation, you can determine the vertex (h,k) of |x+8|-3, which is (-8,-3).

5 0

3 years ago

the area of a rectangular volleyball court is 1800 square feet the courts length is twice it width write a system of equations t

Marianna [84]

Answer:

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

Step-by-step explanation:

Let

x ----> the length of rectangular volleyball court

y ---> the width of the rectangular volleyball court

we know that

The area of the rectangular volleyball court is equal to

$A=xy$

$A=1,800\ ft^2$

$1,800=xy$ ----> equation A

$x=2y$ -----> equation B

substitute equation B in equation A

$1,800=(2y)y$

$1,800=2y^2$

Solve for y

Simplify

$900=y^2$

take square root both sides

$y=30\ ft$

<em>Find the value of x</em>

$x=2y$

substitute the value of y

$x=2(30)=60\ ft$

therefore

The dimensions of the rectangular volleyball court are 60 ft x 30 ft

7 0

3 years ago

PLEASE HELP!!!!!

statuscvo [17]

The second one is the function

6 0

3 years ago

Read 2 more answers

Which of the equations below could be the equation of this parabola?

prohojiy [21]

Answer:

the answer would be C.

Step-by-step explanation:

3 0

3 years ago

In a experiment, the probability that event A occurs is 5/9, the probability that event B occurs is 5/7, and the probability tha

Ymorist [56]

Answer:

52.5% probability that A occurs given B occurs

Step-by-step explanation:

Suppose we have two events, A and B, the conditional probability formula is:

$P(A|B) = \frac{P(A \cap B)}{P(B)}$

In which

P(A|B) is the probability of A happening given that B happened.

$P(A \cap B)$ is the probability of both A and B happening.

P(B) is the probability of B happening.

In this problem, we have that:

$P(A \cap B) = \frac{3}{8}, P(B) = \frac{5}{7}$

$P(A|B) = \frac{P(A \cap B)}{P(B)} = \frac{\frac{3}{8}}{\frac{5}{7}} = 0.525$

52.5% probability that A occurs given B occurs

7 0

3 years ago